Home / 52,030.92-78,066-30,983.04

Finding the Fourth Proportional to 52,030.92, 78,066 and 30,983.04

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Solution

The fourth proportional to 52,030.92, 78,066 and 30,983.04 is: 46,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.92 : 78,066 = 30,983.04 : x
  2. Step 2: Convert to fraction form
    52,030.92/78,066 = 30,983.04/x
  3. Step 3: Cross multiply
    52,030.92x = 78,066 × 30,983.04
  4. Step 4: Simplify right side
    52,030.92x = 2,418,722,000.64
  5. Step 5: Solve for x
    x = 2,418,722,000.64/52,030.92
  6. Step 6: Final answer
    x = 46,486.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.